TY - JOUR

T1 - Singular limits of quasi-linear hyperbolic systems in a bounded domain of R3 with applications to Maxwell’s equations

AU - Milani, Albert

PY - 1985/1/1

Y1 - 1985/1/1

N2 - We establish a singular perturbation result for quasi-linear hyperbolic systems in a bounded domain of R3, depending on a small parameter. We prove and estimate the rate of convergence, as the parameter tends to zero, of uniformly stable solutions of the complete system to a solution of the reduced system. This result is then applied to the study of the convergence of the complete Maxwell equations to the quasi-stationary ones.

AB - We establish a singular perturbation result for quasi-linear hyperbolic systems in a bounded domain of R3, depending on a small parameter. We prove and estimate the rate of convergence, as the parameter tends to zero, of uniformly stable solutions of the complete system to a solution of the reduced system. This result is then applied to the study of the convergence of the complete Maxwell equations to the quasi-stationary ones.

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U2 - 10.2140/pjm.1985.116.111

DO - 10.2140/pjm.1985.116.111

M3 - Article

AN - SCOPUS:84972569424

VL - 116

SP - 111

EP - 129

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 1

ER -